Relation between Change in Potential Energy and Work Done

  • Thread starter andyrk
  • Start date
  • #1
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Why is dU=-[itex]\vec{F}[/itex].d[itex]\vec{r}[/itex]
Integrating with putting the limits on we get:
ΔU=-W
Why is this? Here [itex]\vec{F}[/itex] is a conservative force/Force field.
 

Answers and Replies

  • #4
203
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Potential Energy is actually defined that way. It doesn't require a proof.
 
  • #5
tiny-tim
Science Advisor
Homework Helper
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yup! :smile:

definition! :wink:

(also applies eg to gravity)

(and only works for conservative forces)
 

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